100420400345 has 16 divisors (see below), whose sum is σ = 121932378000. Its totient is φ = 79385484288.

The previous prime is 100420400293. The next prime is 100420400363. The reversal of 100420400345 is 543004024001.

It can be written as a sum of positive squares in 8 ways, for example, as 9589893184 + 90830507161 = 97928^2 + 301381^2 .

It is a cyclic number.

It is not a de Polignac number, because 100420400345 - 2⁸ = 100420400089 is a prime.

It is a super-2 number, since 2×100420400345² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100420400345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675101 + ... + 810309.

It is an arithmetic number, because the mean of its divisors is an integer number (7620773625).

Almost surely, 2^100420400345 is an apocalyptic number.

It is an amenable number.

100420400345 is a deficient number, since it is larger than the sum of its proper divisors (21511977655).

100420400345 is a wasteful number, since it uses less digits than its factorization.

100420400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136972.

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 100420400345 its reverse (543004024001), we get a palindrome (643424424346).

The spelling of 100420400345 in words is "one hundred billion, four hundred twenty million, four hundred thousand, three hundred forty-five".